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High Order Methods for Incompressible Fluid Flow 1st Edition by Deville, Fischer, Mund 0521453097 9780511039461

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High Order Methods for Incompressible Fluid Flow 1st Edition M. O. Deville Digital Instant Download

Author(s): M. O. Deville, P. F. Fischer, E. H. Mund
ISBN(s): 9780511039461, 0521453097
Edition: 1
File Details: PDF, 8.49 MB
Year: 2002
Language: english
SKU: EB-1492906 Category: Tags: , ,

High Order Methods for Incompressible Fluid Flow 1st Edition by Deville, Fischer, Mund – Ebook PDF Instant Download/Delivery: 0521453097, 9780511039461

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Product details:

ISBN 10: 0521453097 

ISBN 13: 9780511039461

Author: M. O. Deville, P. F. Fischer, E. H. Mund

High-order numerical methods provide an efficient approach to simulating many physical problems. This book considers the range of mathematical, engineering, and computer science topics that form the foundation of high-order numerical methods for the simulation of incompressible fluid flows in complex domains. Introductory chapters present high-order spatial and temporal discretizations for one-dimensional problems. These are extended to multiple space dimensions with a detailed discussion of tensor-product forms, multi-domain methods, and preconditioners for iterative solution techniques. Numerous discretizations of the steady and unsteady Stokes and Navier-Stokes equations are presented, with particular sttention given to enforcement of imcompressibility. Advanced discretizations. implementation issues, and parallel and vector performance are considered in the closing sections. Numerous examples are provided throughout to illustrate the capabilities of high-order methods in actual applications.

Table of contents:

  1. Fluid Mechanics and Computation: An Introduction

  2. Approximation Methods for Elliptic Problems

  3. Parabolic and Hyperbolic Problems

  4. Multidimensional Problems

  5. Steady Stokes and Navier–Stokes Equations

  6. Unsteady Stokes and Navier–Stokes Equations

  7. Domain Decomposition

  8. Vector and Parallel Implementations
    A. Preliminary Mathematical Concepts
    B. Orthogonal Polynomials and Discrete Transforms

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Tags: Deville, Fischer, Mund, Methods, Incompressible